312028416 has 144 divisors (see below), whose sum is σ = 1054704000. Its totient is φ = 89137152.

The previous prime is 312028411. The next prime is 312028417. The reversal of 312028416 is 614820213.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 312028416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312028411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45160 + ... + 51608.

Almost surely, 2^312028416 is an apocalyptic number.

312028416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527352000).

312028416 is an abundant number, since it is smaller than the sum of its proper divisors (742675584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312028416 is an equidigital number, since it uses as much as digits as its factorization.

312028416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6481 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 312028416 is about 17664.3260839467. The cubic root of 312028416 is about 678.2628787180.

Adding to 312028416 its reverse (614820213), we get a palindrome (926848629).

The spelling of 312028416 in words is "three hundred twelve million, twenty-eight thousand, four hundred sixteen".